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Finding the Fourth Proportional to 1,226.41, 1,839.71 and 496.06

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Solution

The fourth proportional to 1,226.41, 1,839.71 and 496.06 is: 744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.41 : 1,839.71 = 496.06 : x
  2. Step 2: Convert to fraction form
    1,226.41/1,839.71 = 496.06/x
  3. Step 3: Cross multiply
    1,226.41x = 1,839.71 × 496.06
  4. Step 4: Simplify right side
    1,226.41x = 912,606.54
  5. Step 5: Solve for x
    x = 912,606.54/1,226.41
  6. Step 6: Final answer
    x = 744.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.